Non-Standard and Improperly Posed Problems

Nonfiction, Science & Nature, Mathematics, Applied, Technology
Cover of the book Non-Standard and Improperly Posed Problems by Brian Straughan, William F. Ames, William F. Ames, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Brian Straughan, William F. Ames, William F. Ames ISBN: 9780080537740
Publisher: Elsevier Science Publication: July 7, 1997
Imprint: Academic Press Language: English
Author: Brian Straughan, William F. Ames, William F. Ames
ISBN: 9780080537740
Publisher: Elsevier Science
Publication: July 7, 1997
Imprint: Academic Press
Language: English

Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary.

The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration.

  • Provides the first unified survey of the advances made in the last 15 years in the field
  • Includes an up-to-date compendium of the mathematical literature on these topics
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary.

The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration.

More books from Elsevier Science

Cover of the book Agile Energy Systems by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Anthropometry, Apparel Sizing and Design by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Current Developments in Biotechnology and Bioengineering by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Non-Destructive Evaluation (NDE) of Polymer Matrix Composites by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Neurovirology by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Molecular Biology of Aging by Brian Straughan, William F. Ames, William F. Ames
Cover of the book A Primer of Lebesgue Integration by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Principles of Tissue Engineering by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Culture, Health and Illness by Brian Straughan, William F. Ames, William F. Ames
Cover of the book New Health Systems by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Experimental Design by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Extrusion by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Advances in Carbohydrate Chemistry and Biochemistry by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Product Performance Evaluation using CAD/CAE by Brian Straughan, William F. Ames, William F. Ames
Cover of the book Solid Oxide Fuel Cell Technology by Brian Straughan, William F. Ames, William F. Ames
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy